A manufacturer of automotive components purchases a particular part for use in its manufacturing process from a supplier for $22.2 per unit. The annual demand for the part is 24,819 units per year. The manufacturer has estimated that the ordering cost is $173 per order. The annual holding charge is 19 percent of the unit purchase cost. The supplier has a lead time of 24 days. Recently, the supplier has offered a purchase discount. The supplier will reduce the unit purchase cost by 3.5 percent if the the manufacturer uses an order of quantity of 5,408 units per order.

What order quantity should the manufacturer use? Why

Use at least 4 decimal places.